N. Mnev

activity

20072021

most citedOn D.K. Biss' papers "The homotopy type of the matroid Grassmannian" and "Oriented matroids, complex manifolds, and a combinatorial model for BU"

3 citations · 5 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.GT2019

Minimal triangulations of circle bundles, circular permutations and binary Chern cocycle

Nikolai Mnëv

We investigate a PL topology question: which circle bundles can be triangulated over a given triangulation of the base? The question got a simple answer emphasizing the role of min…

math.GT2018

Which circle bundles can be triangulated over $\partial Δ^{3}$ ?

N. Mnëv

We proof that having boundary of standard 3-dimensional simplex $\partial Δ^{3}$ as a base of triangulation one can triangulate only trivial and Hopf circle bundles.

math.GT2007★ 2 cited

Combinatorial fiber bundles and fragmentation of a fiberwise PL-homeomorphism

Nikolai Mnev

With a compact PL manifold X we associate a category T(X). The objects of T(X) are all combinatorial manifolds of type X, and morphisms are combinatorial assemblies. We prove that…

Minimal triangulations of circle bundles, circular permutations and binary Chern cocycle

Which circle bundles can be triangulated over ∂Δ3?

Combinatorial fiber bundles and fragmentation of a fiberwise PL-homeomorphism

Which circle bundles can be triangulated over $\partial Δ^{3}$ ?